Functions practice test PDF

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Summary

Basic Practice for Functions...

Description

Math 5 SL

1.

Functions Practice Test Questions

Consider the function f : x  x

Sept. 26 / 2012

, x –1

(a)

Determine the inverse function f –1.

(b)

What is the domain of f –1?

(Total 4 marks)

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2.

Two functions f, g are defined as follows: f:x g:x

3x + 5 2(1 – x)

Determine: (a) (b)

f

–1

(2);

g (2x – 5) in simplest form.

(Total 4 marks)

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3.

Consider the functions f : x  4 (x – 1) and g : x  (a)

6– x . 2

Solve the equation (f ° g–1) (x) = 4.

(Total 4 marks)

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4.

Using the sign diagram, determine the quadratic function

(Total 2 marks)

__+___|____-_____|______+_____ -3

2

..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... 5.

If f (x )

x x

, for x

(a)

g(x)

(b)

(g ° g)(2).

–1 and g(x) = (f f)(x), find

(Total 3 marks)

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2

6.

Use the following graph:

(Total 6 marks) (a)

Draw f -1 (x) for graph #1 on the existing graph.

(b)

State the Range for f (x), and the Domain for f -1 (x). ..................................................................................................................................... .....................................................................................................................................

(c)

(d)

Draw a sign diagram below each of the two graphs below.

Is the relation in the graph on the left a function? 3

7.

(a)

Find the equations of all the asymptotes of the graph of: y=1–

(b)

8 (x – 4)

Discuss the behavior of the function as it approaches its asymptotes.

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4...